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Finding the Fourth Proportional to 1,657.54, 2,485.50 and 964.45

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Solution

The fourth proportional to 1,657.54, 2,485.50 and 964.45 is: 1,446.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.54 : 2,485.50 = 964.45 : x
  2. Step 2: Convert to fraction form
    1,657.54/2,485.50 = 964.45/x
  3. Step 3: Cross multiply
    1,657.54x = 2,485.50 × 964.45
  4. Step 4: Simplify right side
    1,657.54x = 2,397,135.65
  5. Step 5: Solve for x
    x = 2,397,135.65/1,657.54
  6. Step 6: Final answer
    x = 1,446.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.